Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 6 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.0.56446250877184000000.1	x^14 + 3x^12 - 10x^11 + 20x^10 + 10x^9 + 73x^8 - 6x^7 + 41x^6 + 234x^5 + 64x^4 + 186x^3 + 403x^2 + 156x + 45	\( -\,2^{14}\cdot 5^{6}\cdot 7^{6}\cdot 37^{4} \)	14T37	Trivial (GRH)
14.0.193301732750862154923.1	x^14 - 14x^11 - 7x^10 + 42x^9 + 217x^8 - 106x^7 - 539x^6 - 294x^5 + 686x^4 + 595x^3 - 63x^2 - 105x + 19	\( -\,3^{7}\cdot 7^{14}\cdot 19^{4} \)	14T37	Trivial
14.2.336378720237541753531648.1	x^14 - 28x^11 + 14x^10 + 84x^9 + 182x^8 - 162x^7 - 1127x^6 + 784x^5 + 1190x^4 - 350x^3 - 336x^2 + 280x + 252	\( 2^{8}\cdot 7^{12}\cdot 37^{7} \)	14T37	Trivial (GRH)
14.2.16482557291639545923050752.1	x^14 - 28x^11 + 14x^10 + 140x^9 + 168x^8 - 128x^7 - 1911x^6 + 1372x^5 + 3752x^4 - 1484x^3 - 2296x^2 + 1120x + 1008	\( 2^{8}\cdot 7^{14}\cdot 37^{7} \)	14T37	Trivial (GRH)
14.14.1030159830727471620190672000000000000.1	x^14 - 210x^12 - 420x^11 + 13615x^10 + 49420x^9 - 227640x^8 - 1102840x^7 + 537775x^6 + 6881000x^5 + 4518150x^4 - 11484900x^3 - 14154175x^2 - 3350900x - 207900	\( 2^{16}\cdot 5^{12}\cdot 7^{14}\cdot 37^{7} \)	14T37	Trivial (GRH)
14.14.98307077841097735657969434524441383862272.1	x^14 - 546x^12 - 1820x^11 + 94367x^10 + 567476x^9 - 4735640x^8 - 37791624x^7 + 74520719x^6 + 960908312x^5 + 178767862x^4 - 10031125468x^3 - 11527474959x^2 + 33962524596x + 53095268772	\( 2^{16}\cdot 7^{14}\cdot 13^{12}\cdot 37^{7} \)	14T37	Trivial (GRH)